54 - 17 = 37






Calculation 2


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(3) Multiplication
(A) 24 x 6 = 144
Procedures:

(1) 6 x 4 = 24

C2:

 2 === 2 beads Pt LP

C1:

 4 === 4 beads Pt LP



(2) 6 x 2 = 12

C3:

 1 === 1 beads Pt LP

C2:

 2 === 2 beads Pt LP



Result = 144
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(B) 62 x 8 = 496
Procedures:
(1) 8 x 2 = 16

C2:

 1 === 1 bead Pt LP

C1:

 6 === 1 bead Pt UP, 1 bead Pt LP



(2) 8 x 6 = 48

C3:

 4 === 4 beads Pt LP

C2:

 8 === 3 beads Pt LP, 1 bead Pt UP



Result = 496




(C) 86 x 7 = 602
Procedures:
(1) 7 x 6 = 42

C2:

 4 === 4 beads Pt LP

C1:

 2 === 2 beads Pt LP



(2) 7 x 8 = 56

C3:

 5 === 1 bead Pt UP

C2:

 6 === 1 bead Pt LP,1 bead Pt UP



Final action

C2:

 1 bead Af UP, 5 beads Af LP (10 units = 1 LP bead in next column C3)

C3:

 1 bead Pt LP



Result = 602
(D) 23 x 13 = 299
Procedures:
(1) 3 x 3 = 9

C1:

 9 === 4 beads Pt LP, 1 bead Pt UP



(2) 3 x 2 = 6

C2:

 6 === 1 bead Pt LP, 1 bead Pt UP



(3) 1 x 3 = 3

C2:

 3 === 3 beads Pt LP



(4) 1 x 2 = 2

C3:

 2 === 2 beads Pt LP



Result = 299
All procedures together
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(E) 46 x 75 = 3,450
Procedures:
(1) 5x6 = 30

C2:

 3 === 3 beads Pt LP

C1:

 0 === no action



(2) 5x4  = 20

C3:

 2 === 2 beads Pt LP

C2:

 0 === no action, remember that is the last digit



(3) 7 x 6 = 42

C3:

 4 === 1 bead Pt UP, 1 bead Af LP

C2:

 2 === 2 beads Pt LP, 1 bead Pt UP



=== C2: 5 beads Af LP, 1 bead Pt UP



(4) 7 x 4 = 28

C4:

 2 === 2 beads Pt LP

C3:

 8 === 3 beads Pt LP, 1 bead Pt UP



=== C3: 2 beads Af UP, 1 bead Pt LP in C4



Result = 3,450
All procedures together




(F) 123 x 246 = 30,258

Procedures:

(1) 6 X 3 = 18

C2:

 1 === 1 bead Pt LP

C1:

 8 === 1 bead Pt UP, 3 beads Pt LP



(2) 6 x 2 = 12

C3:

 1 === 1 bead Pt LP

C2:

 2 === 2 beads Pt LP



(3) 6 x 1 = 6

C3:

 6 === 1 bead Pt LP, 1 bead Pt UP



(4) 4 x 3 = 12

C3:
C2:

 1 === 1 bead Pt LP
2 === 2 beads Pt LP




=== C2: 5 beads Af LP, 1 bead Pt UP



(5) 4 x 2 = 8

C3:

 8 === 1 bead Pt LP in C4, 2 beads Af LP in C3



(6) 4 x 1 = 4

C4:

 4 === 4 beads Pt LP




=== 5 beads Af LP, 1 bead Pt UP







(7) 2 x 3 = 6

C3:

 6 === 1 bead Pt LP, 1 bead Pt UP



=== 2 beads Af UP, 1 bead Pt LP in C4



(8) 2 x 2 = 4

C4:

 4 === 4 beads Pt LP



=== 1 bead Af UP, 5 beads Af LP, 1 bead Pt LP in C5



(9) 2 x 1 = 2

C5:

 2 === 2 beads Pt LP



Result = 30,258
All procedures together
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(G) 769 x 298 = 229,162

Procedures:
(1) 8 x 9 = 72

C2:

 7 === 1 bead Pt UP, 2 beads Pt LP

C1:

 2 === 2 beads Pt LP






(2) 8 x 6 = 48

C3:

 4 === 4 beads Pt LP

C2:

 8 === 3 beads Pt LP, 1 bead Pt UP



=== C2: 5 beads Af LP, 1 bead Pt UP, 1 bead Pt LP in C3



=== C3: 5 beads Af LP, 1 bead Pt UP




(3) 8 x 7 = 56

C4:

 5 === 1 bead Pt UP

C3:

 6 === 1 bead Pt LP, 1 bead Pt UP



=== C3: 2 beads Af UP, 1 bead Pt LP in C4





(4) 9 x 9 = 81

C3:

 8 === 1 bead Pt UP, 3 beads Pt LP

C2:

 1 === 1 bead Pt LP



(5) 9 x 6 = 54

C4:

 5 === 1 bead Pt UP

C3:

 4 === 1 bead Pt UP, 1 bead Af LP



=== C3: 2 beads Af UP, 1 bead Pt LP in C4




=== C4: 2 beads Af UP, 1 bead Pt LP in C5



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(6) 9 x 7 = 63

C5:

 6 === 1 bead Pt LP, 1 bead Pt UP

C4:

 3 === 3 beads Pt LP 



=== C4: 5 beads Af LP, 1 bead Pt UP



(7) 2 x 9 = 18

C4:

 1 === 1 bead Pt LP

C3:

 8 === 2 beads Pt UP, 2 beads Af LP



=== C3: 2 beads Af UP, 1 bead Pt LP in C4



(8) 2 x 6 = 12

C5:

 1 === 1 bead Pt LP

C4:

 2 === 2 beads Pt LP






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(9) 2 x 7 = 14

C6:

 1 === 1 bead Pt LP

C5:

 4 === 1 bead Pt UP, 1 bead Af LP



=== C5: 2 beads Af UP, 1 bead Pt LP in C6



Result = 229,162


All procedures together

Have Fun!
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